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Finding the Fourth Proportional to 210,588, 290,607.13 and 115,095.39

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Solution

The fourth proportional to 210,588, 290,607.13 and 115,095.39 is: 158,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,588 : 290,607.13 = 115,095.39 : x
  2. Step 2: Convert to fraction form
    210,588/290,607.13 = 115,095.39/x
  3. Step 3: Cross multiply
    210,588x = 290,607.13 × 115,095.39
  4. Step 4: Simplify right side
    210,588x = 33,447,540,676.39
  5. Step 5: Solve for x
    x = 33,447,540,676.39/210,588
  6. Step 6: Final answer
    x = 158,829.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.